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So..as you can see Mikeedge...opinions vary wildly.

3/8 will maintain shave ready edges, and also when it gets too dull for the 8k to refresh, you've got the 3k side to back you up.
12k will...

I say get the 3/8, and don't worry about a 12k stone til some time next year. And no, you don't need a lapping plate at all. You can use sandpaper on a countertop.